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GB/T 4089-2008Statistical interpretation of data Estimation and hypothesis test of parameter in Poisson distribution (English PDF)

数据的统计处理和解释 泊松分布参数的估计和检验

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Issued by

SAMR; SAC

Level / Type

National · Recommended

Issue date

July 16, 2008

Implementation date

January 1, 2009

Scope

GB/T 4089-2008 is the English-translated version of 数据的统计处理和解释 泊松分布参数的估计和检验.

GB/T 4089-2008 is the Chinese standard "Statistical interpretation of data Estimation and hypothesis test of parameter in Poisson distribution". Its scope clause reads: The overall standard is based on the Poisson distribution, distribution probability mass function is.

P {X = x0/lambda} = lambda X0! e -lambda x0 = 0,1,2 Where lambda > 0 is the distribution parameter. X0 independent random sample from this standard based on the overall, x2 ,, x0 shape parameter lambda defines the point estimate Meter, interval estimation and testing methods.

When there is sufficient reason to believe the overall Poisson distribution, we can use this standard. Its clauses include distribution; terms, definitions and symbols.

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Document preview — GB/T 4089-2008

National Standard of the People's Republic of China

ICS
03.120.30
Classification
A 41
Replacing
GB/T 4090-1983

Issued by: State Administration for Market Regulation; Standardization Administration of the PRC

Contents

  • Introduction
  • 1 Scope
  • 2 Normative references
  • 3 Terms, definitions and symbols
  • 3.1 Terms and definitions
  • 3.2 Symbols
  • 4 Parameter Estimation
  • 4.1 point estimate
  • 4.2 Interval Estimation
  • 5.1 null hypothesis and alternative hypothesis
  • 5.2 two-sided test H0. lambda = lambda0 H1. lambda != lambda 0
  • 5.3 one-sided test H0. lambda<=lambda0 H1. lambda > lambda 0
  • 5.4 one-sided test H0. lambda>=lambda0 H1. lambda < lambda 0
  • Appendix A (normative) significance tests of two types of errors
  • Annex C (informative) Equivalent test method

1 Scope

The overall standard is based on the Poisson distribution, distribution probability mass function is.

P {X = x0/lambda} = lambda

X0! e

-lambda x0 = 0,1,2

Where lambda > 0 is the distribution parameter. X0 independent random sample from this standard based on the overall, x2 ,, x0 shape parameter lambda defines the point estimate

Meter, interval estimation and testing methods. When there is sufficient reason to believe the overall Poisson distribution, we can use this standard.

2 Normative references

The following documents contain provisions which, through reference in this standard and become the standard terms. For dated references, subsequent

Amendments (not including errata content) or revisions do not apply to this standard, however, encourage the parties to the agreement are based on research

Whether the latest versions of these documents. For undated reference documents, the latest versions apply to this standard.

GB/T 4086.1 Tables for statistical distributions normal

GB/T 4086.2 Tables for statistical distributions chi

2 Distribution

ISO 3534-1.2006 Statistics Vocabulary and symbols - Part 1. General statistical terms and terms used in probability

ISO 3534-2.2006 Statistics Vocabulary and symbols - Part 2. Applied Statistics

3 Terms, definitions and symbols

ISO 3534-1.2006 and ISO 3534-2.2006 as well as to determine the following terms, definitions and symbols apply to this standard. For ease of reference

Test, certain terminology, symbols directly from the above criteria.

3.1 Terms and Definitions

ISO 3534-1.2006 and ISO 3534-2.2006 to determine the terms and definitions apply to this standard.

3.2 Symbol

Shaped sample size

Poisson distribution parameter lambda

lambdaL lower confidence limit of the interval estimation of lambda

lambdaU confidence interval estimation of the upper limit of the lambda

alpha level of significance

Specified value beta type II error probability.

alpha '< significant test> Type I error probability, the null hypothesis is true, the probability that the null hypothesis is rejected

beta < significant test> type II error probability 'error when the null hypothesis, the probability of the null hypothesis of no refusal

H0 < significant test> null hypothesis

H1 < significant test> alternative hypothesis

The probability P (A) of the event A

T sample observations x1, x2 ,, sum x0 shaped, T = sigma

1-alpha < interval estimation> confidence level […]

......
This preview omits tables, figures, formulas and parts of the technical clauses. The complete document — 16 pages — is available in the English PDF.

Similar standards

Editions of GB/T 4089

EditionTitleRevisionStatus
GB/T 4089-2008Statistical interpretation of data Estimation and hypothesis test of parameter in Poisson distributioncurrent editionCurrent
GB/T 4090-1983Statistical interpretation of data Estimation and hypothesis test of parameter in Poisson distributionprevious editionSuperseded

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